Need help solving for X

♡ Answer ♡

12°

♡ Step-by-step explanation ♡

  For this problem, we must find the value of x. In order to do this, there are a few simple steps we must follow.

However, before we begin, there is one important fact we should remember. As we know, there are 180 degrees in a triangle. This means that our total is 180°.

  Our first step towards completing this problem is to subtract the amount of degrees we know from the total. In the picture, we can clearly tell that the degrees that are not attached to a variable are 27° and 9°. So, we can easily subtract those from 180°. 27° + 9° = 36°. 180°- 36° = 144°. This means that the remaining value we have left to work with, when incorporating that attached to x, is 144°.

  The next step towards completing this question is to add the values of the numbers attached to x. In this case, the remaining values are 5x° and 7x°. The numbers attached to the variable x are 5 and 7. These are the two numbers we must combine to find the answer. 5 + 7 = 12. So, the total value of the numbers attached to x is 12.

  This final step is directly connected to the last one. To find the value of x, we must divide 144° by 12. This is because the total degrees of the triangle that are directly connected to x are 144°, and the total values of the numbers directly attached to x are 12. Therefore, by dividing 144° by 12, the answer will be the value of x. 144° ÷ 12 = 12°. So, x is 12°.

  Furthermore, there is actually a way to check to see that x is actually 12°. This strategy is by substituting x for 12°. To do this, I must multiply 5° by 12° (for 5x°) and 7° by 12° (for 7x). 5° * 12° equals 60°. 7° * 12° is 84°. 60° + 84° = 144°. Now, we must add the remaining values: 9° and 27°. 9° + 27° = 36°. 36° + 144° = 180°. If you remember, there are 180° in a triangle. 180° = 180°. This proves that the answer is indeed 12°

  A/N (Author's Note): I hope this helps those that have found their way to this page! I tried to explain the process in sequential order so that it is easier to comprehend. Thanks for taking time out of your day to read my answer. Have a marvelous week! <3

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step-by-step explanation:

add them

step-by-step explanation:

idk you did not give the options or numbers so you cant solve it